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Finding the Fourth Proportional to 20,335.80, 30,516.66 and 8,649

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Solution

The fourth proportional to 20,335.80, 30,516.66 and 8,649 is: 12,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,335.80 : 30,516.66 = 8,649 : x
  2. Step 2: Convert to fraction form
    20,335.80/30,516.66 = 8,649/x
  3. Step 3: Cross multiply
    20,335.80x = 30,516.66 × 8,649
  4. Step 4: Simplify right side
    20,335.80x = 263,938,592.34
  5. Step 5: Solve for x
    x = 263,938,592.34/20,335.80
  6. Step 6: Final answer
    x = 12,979.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.